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Finding the Third Proportional to 38,163.38 and 84,659.63

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Solution

The third proportional to 38,163.38 and 84,659.63 is: 187,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,163.38 : 84,659.63 = 84,659.63 : x
  2. Step 2: Convert to fraction form
    38,163.38/84,659.63 = 84,659.63/x
  3. Step 3: Cross multiply
    38,163.38x = 84,659.63 × 84,659.63
  4. Step 4: Simplify right side
    38,163.38x = 7,167,252,105.14
  5. Step 5: Solve for x
    x = 7,167,252,105.14/38,163.38
  6. Step 6: Final answer
    x = 187,804.46

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.